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finlep [7]
3 years ago
12

Consider a game in which a player rolls a number cube to determine the number of points earned. If a player rolls a number great

er than or equal to 4, the number of the roll is added to the total points. Any other roll is deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0
The probability of rolling any specific number is 1/6. The expected number of points is found from:
E(points) = (1/6 * -1) + (1/6 * -2) + (1/6 * -3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6)
             = 9/6 = 1.5 points
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3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

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